SOLUTION: The measures of two complementary angles are 16z - 9 and 4z + 3. Find the measures of the angles.

Algebra ->  Angles -> SOLUTION: The measures of two complementary angles are 16z - 9 and 4z + 3. Find the measures of the angles.      Log On


   

Question 49190This question is from textbook Geometry
: The measures of two complementary angles are 16z - 9 and 4z + 3. Find the measures of the angles. This question is from textbook Geometry

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If the two angles are complementary then their sum is 90 degrees. You can write the equation to solve for z:
%2816z-9%29+%2B+%284z%2B3%29+=+90 Simplify and solve for z.
20z+-+6+=+90 add 6 to both sides.
20z+=+96 Divide both sides by 20.
z+=+4.8 Substitute this into the given expressions for the two angles.
16z-9+=+16%284.8%29-9 = 67.8 degrees.
4z%2B3+=+4%284.8%29%2B3 = 22.2 degrees.